anonymous
  • anonymous
What is the value of a? 9a - 3(a - 6)= -6 a=?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@mathstudent55
mathstudent55
  • mathstudent55
In this equation, you first need to simplify the expression and get rid of parentheses.
mathstudent55
  • mathstudent55
You need to use the distributive property on the left side.

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More answers

mathstudent55
  • mathstudent55
|dw:1443652798689:dw|
mathstudent55
  • mathstudent55
The first step in this equation is to simplify -3(a - 6) using the distributive property
mathstudent55
  • mathstudent55
|dw:1443652952295:dw|
mathstudent55
  • mathstudent55
I copied the 9a and the = -6 to the next line. We are only going to work on what is in the box. |dw:1443653017673:dw|
mathstudent55
  • mathstudent55
|dw:1443653089656:dw|
mathstudent55
  • mathstudent55
That was just applying the distributive property. Now we simplify -3(-6) What is (-3) * (-6) = ?
anonymous
  • anonymous
18?
mathstudent55
  • mathstudent55
Correct, since negative times negative is positive.
mathstudent55
  • mathstudent55
|dw:1443653260886:dw|
mathstudent55
  • mathstudent55
We simplified the parentheses. Now we need to combine like terms on the left side. We need to combine the 9a and -3a terms. What is 9a - 3a = ?
anonymous
  • anonymous
3a^2?
mathstudent55
  • mathstudent55
No. The exponent only changes when you multiply variables. Think of a as some unknown thing. It can be the number of books on a shelf, only you don't know it. If I ask you "there are 9 books and I took away 3 books, how many books are left?" What is the answer?
anonymous
  • anonymous
6
mathstudent55
  • mathstudent55
9 books - 3 books = 6 books 9 bananas - 3 bananas = 6 bananas 9 shirts - 3 shirts = 6 shirts 9a - 3a = 6a
mathstudent55
  • mathstudent55
You must keep the "a". 9 - 3 = 6 (no numbers here have "a".) 9a - 3a = 6a If you have 9 "a's" and you take away 3 "a's" you are left with 6 "a's"
mathstudent55
  • mathstudent55
|dw:1443653672095:dw|
mathstudent55
  • mathstudent55
Ok so far?
anonymous
  • anonymous
yes
mathstudent55
  • mathstudent55
Now we have an equation similar tot eh two we saw before. We need to undo the addition of 18 by subtracting 18 from both sides. |dw:1443653770531:dw|
mathstudent55
  • mathstudent55
Since nothing is being added to or subtracted from 6a, we just copy the 6a down. What is 18 - 18 ?
anonymous
  • anonymous
0
mathstudent55
  • mathstudent55
|dw:1443653854679:dw|
mathstudent55
  • mathstudent55
Good. What is -6 - 18?
anonymous
  • anonymous
-24
mathstudent55
  • mathstudent55
Correct. We have: |dw:1443654066983:dw|
mathstudent55
  • mathstudent55
"a" is being multiplied by 6. We want "a" by itself on the left side. Now can you tell what we still need to do to get "a" by itself?
anonymous
  • anonymous
subtract it by itself?
anonymous
  • anonymous
@mathstudent55
mathstudent55
  • mathstudent55
a is being multiplied by 6. To undo a multiplication, you need to do the opposite operation. What is the opposite operation to a multiplication?
anonymous
  • anonymous
division
mathstudent55
  • mathstudent55
Correct. Since "a" is being multiplied by 6, you need to divide it by 6. Since we need to do the same to both sides of an equation, we divide both sides of the equation by 6.
mathstudent55
  • mathstudent55
|dw:1443654727026:dw|
mathstudent55
  • mathstudent55
What is -24/6 ?
anonymous
  • anonymous
-4
anonymous
  • anonymous
and 6/6 is 1
mathstudent55
  • mathstudent55
Correct & correct. We have: |dw:1443655009021:dw|
mathstudent55
  • mathstudent55
The solution is a = -4
anonymous
  • anonymous
Thank You! I have 1 more :)

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